Use the image to answer the question.
A line graph titled 5 Kilometer Run shows time in minutes on the x-axis and distance in kilometers on the y-axis. The graph shows the trend for four participants: Bella, Ruby, Greg, and Paul. The x-axis ranges from 0 to 60 in increments of 10. The y-axis ranges from 0 to 15 in increments of 2.5. A line labeled Bella starts at the origin and passes through plotted point left parenthesis 45 comma 3.5 right parenthesis. A line labeled Ruby starts at the origin and passes through plotted point left parenthesis 40 comma 2.5 right parenthesis. A line labeled Greg starts at the origin and passes through plotted point left parenthesis 45 comma 2.5 right parenthesis. A line labeled Paul starts at the origin and passes through plotted point left parenthesis 25 comma 1 right parenthesis.
Four friends ran a 5K to raise money for their school. The graph shows their rates as a ratio of distance measured in kilometers and time in minutes. Based on the points shown, name the person who ran 212 km in 45 minutes.(1 point)
Responses
Bella
Bella
Greg
Greg
Paul
Paul
Ruby
Ruby
Ruby
To determine the person who ran 2.12 km in 45 minutes, we need to find the corresponding point on the graph.
Looking at the graph, we can see that Bella's line passes through the point (45, 3.5), Ruby's line passes through the point (40, 2.5), Greg's line passes through the point (45, 2.5), and Paul's line passes through the point (25, 1).
Since the x-coordinate represents time in minutes and the y-coordinate represents distance in kilometers, we need to find the point where the x-coordinate is 45 and the y-coordinate is close to 2.12.
The closest point to (45, 2.12) on the graph is on Greg's line, which passes through the point (45, 2.5).
Therefore, the person who ran 2.12 km in 45 minutes is Greg.